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Why is 3 square root of 2 is irrational?
sqrt(2) is irrational. 3 is rational. The product of an irrational and a non-zero rational is irrational. A more fundamental proof would follow the lines of the proof that sqrt(2) is irrational.
Are root 2 and root 3 rational or irrational?
The square roots of 2 and 3 are irrational but not transcendent.
Can You multiply a rational and irrational number and get an irrational product?
Yes, multiplying a rational and an irrational number gives an irrational product. For example 3 * pi = 3pi = 9.424789... or 2 * sqrt 2 = 2^(3/2).
Is 3 a irrational number?
No, 3 is a rational number. Pi and the square root of 2 are irrational numbers.
The difference between two different irrational numbers?
The difference can be rational or irrational.5 + sqrt(3) and 2 + sqrt(3) are both irrational numbers but their difference is[5 + sqrt(3)] - [2 + sqrt(3)] = 3, which is rational.
Will any irrational number divided by an irrational number be irrational?
No.3*sqrt(2) and sqrt(2) are irrational. But their quotient is 3, which is rational.
Is - 3 over 2 rational or irrational?
Rational (-1.5) Since it can be expressed as a fraction.
What is 3 over 8 as an irrational number?
3/8 is rational, it can't be irrational.
2-root5 is irrational or rational?
-3
Is the sum of two POSITIVE irrational numbers ALWAYS irrational?
No. Two irrational numbers can be added to be rational. For example, 1/3 + 2/3 = 3/3. 1/3 and 2/3 are both irrational, but 3/3 = 1, which is rational.
Is 2 over 3 a rational or irrational number?
irrational 2/3 = .66666666 and so on
Is the product of three irrational numbers always an irrational number?
No. The easiest counter-example to show that the product of two irrational numbers can be a rational number is that the product of √2 and √2 is 2. Likewise, the cube root of 2 is also an irrational number, but the product of 3√2, 3√2 and 3√2 is 2.
Is the square root of 4 over 9 irrational?
The square of the fraction 4/9 is a rational number, either + 2/3 or -2/3
Is the square root of 300 rational or irrational?
300 = 2 x 2 x 3 x 5 x5 and sqrt(2) is irrational then sqrt(300) is irrational
The sum of two irrational is always irrational?
No. In fact, the sum of conjugate irrational numbers is always rational.For example, 2 + sqrt(3) and 2 - sqrt(3) are both irrational, but their sum is 4, which is rational.
Is the sum of two irrational numbers also an irrational number?
Not necessarily. 3+sqrt(2) and 3-sqrt(2) are both irrational numbers. Their sum is 6 - a rational.
Example of two irrational numbers the product of which is an irrational number?
sqrt(2)*sqrt(3) is an irrational product.
